@article{Gawrońska_E._Numerical_2018,
author={Gawrońska, E. and Dyja, R.},
howpublished={online},
year={2018},
abstract={The paper presents the results of the computer simulations of solidification with consideration of the liquid phase movement. Simulations were conducted in a real, complex cast. There is a multi-stage resolution to the problem of convection in solidification simulations. The most important resolution concerns the development of the numerical model with the momentum and continuity equations, as well as conditions which are determined by the convection. Simulations were carried out with the use of our authorial software based on stabilized finite elements method (Petroy-Galerkin). In order to solve Navier-Stokes equation (with the convection element), Boussinesq’s approximation were used. Finite Elements Method (FEM) was responsible for the solidification. FEM is close to the heat conduction equation solution (with the internal heat source responsible for the heat released during phase transformation). Convection causes movement in the liquid phase in the solidifying cast and can significantly influence the process of heat transfer from the cast. It may change the distribution of the defects. Results of this article make it possible to assess the conditions in which the influence of the convection on solidification is significant.},
title={Numerical Calculations of the Cast Solidification with the Complex Shape Including the Movement of the Liquid Phase},
type={Artykuły / Articles},
volume={vol.18},
number={No 3},
journal={Archives of Foundry Engineering},
pages={65-70},
publisher={The Katowice Branch of the Polish Academy of Sciences},
doi={10.24425/123603},
keywords={solidification, Navier-Stokes, Streamline Upwind Petrov-Galerkin, Pressure Stabilized Petrov-Galerkin},
}